Thermodynamics - compression of a gas in a piston-cylinder device

[roldy]

Homework Statement

An ideal gas initially at 100kPa and 300K is contained in a piston-cylinder device with an initial volume of 5 liters. The gas is then compressed slowly according to the relationship that pV^2=constant until a final temperature of 400K is reached. Sketch the process on a p-V diagram and find how much work is done in this process.

Homework Equations

pV^2=costant

The Attempt at a Solution

I'm not sure in my logic but since this is a freely moving piston-cylinder device, the work should be 0 which would result in a horizonatal line. Is this assumption correct?

 

[chemisttree]

No. Review the definition of work as it pertains to pressure and volume changes.